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Finding the Third Proportional to 22,566.09 and 35,098.31

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Solution

The third proportional to 22,566.09 and 35,098.31 is: 54,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,566.09 : 35,098.31 = 35,098.31 : x
  2. Step 2: Convert to fraction form
    22,566.09/35,098.31 = 35,098.31/x
  3. Step 3: Cross multiply
    22,566.09x = 35,098.31 × 35,098.31
  4. Step 4: Simplify right side
    22,566.09x = 1,231,891,540.35
  5. Step 5: Solve for x
    x = 1,231,891,540.35/22,566.09
  6. Step 6: Final answer
    x = 54,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.